2s^2-4s=70

Solution for 2s^2-4s=70 equation:

Simplifying
2s2 + -4s = 70

Reorder the terms:
-4s + 2s2 = 70

Solving
-4s + 2s2 = 70

Solving for variable 's'.

Reorder the terms:
-70 + -4s + 2s2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + -4s + 2s2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + -2s + s2) = 0

Factor a trinomial.
2((-5 + -1s)(7 + -1s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1s)' equal to zero and attempt to solve:

Simplifying
-5 + -1s = 0

Solving
-5 + -1s = 0

Move all terms containing s to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1s = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1s = 0 + 5
-1s = 0 + 5

Combine like terms: 0 + 5 = 5
-1s = 5

Divide each side by '-1'.
s = -5

Simplifying
s = -5
Subproblem 2
Set the factor '(7 + -1s)' equal to zero and attempt to solve:

Simplifying
7 + -1s = 0

Solving
7 + -1s = 0

Move all terms containing s to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1s = 0 + -7
-1s = 0 + -7

Combine like terms: 0 + -7 = -7
-1s = -7

Divide each side by '-1'.
s = 7

Simplifying
s = 7
Solution
s = {-5, 7}